﻿using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using V = Science.Mathematics.VectorCalculus;

namespace VectorCalculus5Ed.Chapter2.Section1
{
    public class Example05
    {
        public Example05()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
        public void Compute()
        {
            V.Function.ToLastType<double,double,double,double[]> cf
				= new V.Function.ToLastType<double,double,double,double[]>(Circle);
		    V.Domain3D xd = new V.Domain3D();
            xd.ConditionFunctionsLessThanZero = cf;
			xd.LowerBoundOfX = -1.0;
			xd.LowerBoundOfY = -1.0;
            xd.LowerBoundOfZ = -1.0;
			xd.UpperBoundOfX = 1.0;
			xd.UpperBoundOfY = 1.0;
			xd.UpperBoundOfZ = 1.0;

            V.Function.ToLastType<double,double,double,double> f
                = new V.Function.ToLastType<double,double,double,double>(func);
            V.LevelSurface ls = new V.LevelSurface(f, 1.0, xd);
            ls.FindSurface(0.1);
            for (int i = 0; i < ls.SurfacePointX.Count; i++)
            {
                double a = (double)ls.SurfacePointX[i] * (double)ls.SurfacePointX[i]
                    + (double)ls.SurfacePointY[i] * (double)ls.SurfacePointY[i]
                    + (double)ls.SurfacePointZ[i] * (double)ls.SurfacePointZ[i];
                result += ls.SurfacePointX[i].ToString() + "\t  ";
                result += ls.SurfacePointY[i].ToString() + "\t  ";
                result += ls.SurfacePointZ[i].ToString() + "\t  ";
                result += a.ToString() + "\r\n";
            }
        }
        private double func(double x, double y, double z)
        {
            return x * x + y * y + z * z;
        }
        private double[] Circle(double x, double y, double z)
        {
            double[] f = new double[1];
            f[0] = x * x + y * y + z * z - 10.0;
            return f;
        }
    }
}

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0.864705882352941	  0	  0.5	  0.997716262975779
0.8	  0	  0.6	  1
0.8	  0.1	  -0.590909090909091	  0.999173553719008
0.858823529411765	  0.1	  -0.5	  0.99757785467128
0.858823529411765	  0.1	  0.5	  0.99757785467128
0.8	  0.1	  0.590909090909091	  0.999173553719008
0.8	  0.2	  -0.563636363636363	  0.997685950413223
0.841176470588235	  0.2	  -0.5	  0.99757785467128
0.894117647058824	  0.2	  -0.4	  0.999446366782007
0.894117647058823	  0.2	  0.4	  0.999446366782007
0.841176470588235	  0.2	  0.5	  0.99757785467128
0.8	  0.2	  0.563636363636364	  0.997685950413223
0.8	  0.3	  -0.518181818181818	  0.998512396694215
0.811764705882353	  0.3	  -0.5	  0.998961937716263
0.8	  0.328571428571428	  -0.5	  0.997959183673469
0.864705882352941	  0.3	  -0.4	  0.997716262975779
0.864705882352941	  0.3	  0.4	  0.997716262975778
0.811764705882353	  0.3	  0.5	  0.998961937716263
0.8	  0.328571428571428	  0.5	  0.997959183673469
0.8	  0.3	  0.518181818181818	  0.998512396694215
0.8	  0.4	  -0.444444444444444	  0.997530864197531
0.823529411764706	  0.4	  -0.4	  0.998200692041523
0.8	  0.444444444444444	  -0.4	  0.997530864197531
0.864705882352941	  0.4	  -0.3	  0.997716262975779
0.894117647058823	  0.4	  -0.2	  0.999446366782007
0.894117647058823	  0.4	  0.2	  0.999446366782007
0.864705882352941	  0.4	  0.3	  0.997716262975778
0.823529411764706	  0.4	  0.4	  0.998200692041523
0.8	  0.444444444444444	  0.4	  0.997530864197531
0.8	  0.4	  0.444444444444444	  0.997530864197531
0.8	  0.5	  -0.328571428571428	  0.997959183673469
0.811764705882353	  0.5	  -0.3	  0.998961937716263
0.8	  0.518181818181818	  -0.3	  0.998512396694215
0.841176470588235	  0.5	  -0.2	  0.99757785467128
0.8	  0.563636363636364	  -0.2	  0.997685950413223
0.858823529411765	  0.5	  -0.1	  0.99757785467128
0.8	  0.590909090909091	  -0.1	  0.999173553719009
0.864705882352941	  0.5	  0	  0.997716262975779
0.8	  0.6	  0	  1
0.858823529411765	  0.5	  0.1	  0.99757785467128
0.8	  0.590909090909091	  0.1	  0.999173553719009
0.841176470588235	  0.5	  0.2	  0.99757785467128
0.8	  0.563636363636364	  0.2	  0.997685950413223
0.811764705882353	  0.5	  0.3	  0.998961937716263
0.8	  0.518181818181818	  0.3	  0.998512396694215
0.8	  0.5	  0.328571428571428	  0.997959183673469
*/